Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1205,2,Mod(724,1205)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1205, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1205.724");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1205 = 5 \cdot 241 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1205.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.62197344356\) |
Analytic rank: | \(0\) |
Dimension: | \(46\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 724.35 | ||
Character | \(\chi\) | \(=\) | 1205.724 |
Dual form | 1205.2.b.c.724.12 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1205\mathbb{Z}\right)^\times\).
\(n\) | \(242\) | \(971\) |
\(\chi(n)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.49203i | 1.05502i | 0.849548 | + | 0.527511i | \(0.176874\pi\) | ||||
−0.849548 | + | 0.527511i | \(0.823126\pi\) | |||||||
\(3\) | 3.12646i | 1.80506i | 0.430626 | + | 0.902531i | \(0.358293\pi\) | ||||
−0.430626 | + | 0.902531i | \(0.641707\pi\) | |||||||
\(4\) | −0.226139 | −0.113070 | ||||||||
\(5\) | 0.643201 | + | 2.14156i | 0.287648 | + | 0.957736i | ||||
\(6\) | −4.66475 | −1.90438 | ||||||||
\(7\) | − | 4.66024i | − | 1.76140i | −0.473670 | − | 0.880702i | \(-0.657071\pi\) | ||
0.473670 | − | 0.880702i | \(-0.342929\pi\) | |||||||
\(8\) | 2.64665i | 0.935730i | ||||||||
\(9\) | −6.77474 | −2.25825 | ||||||||
\(10\) | −3.19527 | + | 0.959673i | −1.01043 | + | 0.303475i | ||||
\(11\) | −5.92431 | −1.78625 | −0.893123 | − | 0.449812i | \(-0.851491\pi\) | ||||
−0.893123 | + | 0.449812i | \(0.851491\pi\) | |||||||
\(12\) | − | 0.707014i | − | 0.204097i | ||||||
\(13\) | − | 4.29102i | − | 1.19012i | −0.803683 | − | 0.595058i | \(-0.797129\pi\) | ||
0.803683 | − | 0.595058i | \(-0.202871\pi\) | |||||||
\(14\) | 6.95319 | 1.85832 | ||||||||
\(15\) | −6.69551 | + | 2.01094i | −1.72877 | + | 0.519223i | ||||
\(16\) | −4.40114 | −1.10028 | ||||||||
\(17\) | 5.72527i | 1.38858i | 0.719694 | + | 0.694291i | \(0.244282\pi\) | ||||
−0.719694 | + | 0.694291i | \(0.755718\pi\) | |||||||
\(18\) | − | 10.1081i | − | 2.38250i | ||||||
\(19\) | 1.23168 | 0.282568 | 0.141284 | − | 0.989969i | \(-0.454877\pi\) | ||||
0.141284 | + | 0.989969i | \(0.454877\pi\) | |||||||
\(20\) | −0.145453 | − | 0.484291i | −0.0325243 | − | 0.108291i | ||||
\(21\) | 14.5700 | 3.17944 | ||||||||
\(22\) | − | 8.83922i | − | 1.88453i | ||||||
\(23\) | − | 3.63376i | − | 0.757692i | −0.925460 | − | 0.378846i | \(-0.876321\pi\) | ||
0.925460 | − | 0.378846i | \(-0.123679\pi\) | |||||||
\(24\) | −8.27462 | −1.68905 | ||||||||
\(25\) | −4.17258 | + | 2.75491i | −0.834517 | + | 0.550983i | ||||
\(26\) | 6.40231 | 1.25560 | ||||||||
\(27\) | − | 11.8016i | − | 2.27121i | ||||||
\(28\) | 1.05386i | 0.199161i | ||||||||
\(29\) | −1.81182 | −0.336447 | −0.168224 | − | 0.985749i | \(-0.553803\pi\) | ||||
−0.168224 | + | 0.985749i | \(0.553803\pi\) | |||||||
\(30\) | −3.00038 | − | 9.98986i | −0.547791 | − | 1.82389i | ||||
\(31\) | −1.11419 | −0.200114 | −0.100057 | − | 0.994982i | \(-0.531902\pi\) | ||||
−0.100057 | + | 0.994982i | \(0.531902\pi\) | |||||||
\(32\) | − | 1.27332i | − | 0.225093i | ||||||
\(33\) | − | 18.5221i | − | 3.22428i | ||||||
\(34\) | −8.54225 | −1.46498 | ||||||||
\(35\) | 9.98019 | − | 2.99747i | 1.68696 | − | 0.506665i | ||||
\(36\) | 1.53203 | 0.255339 | ||||||||
\(37\) | 7.32690i | 1.20454i | 0.798294 | + | 0.602268i | \(0.205736\pi\) | ||||
−0.798294 | + | 0.602268i | \(0.794264\pi\) | |||||||
\(38\) | 1.83770i | 0.298115i | ||||||||
\(39\) | 13.4157 | 2.14823 | ||||||||
\(40\) | −5.66796 | + | 1.70233i | −0.896183 | + | 0.269161i | ||||
\(41\) | −6.45271 | −1.00774 | −0.503872 | − | 0.863778i | \(-0.668092\pi\) | ||||
−0.503872 | + | 0.863778i | \(0.668092\pi\) | |||||||
\(42\) | 21.7389i | 3.35438i | ||||||||
\(43\) | − | 4.57155i | − | 0.697155i | −0.937280 | − | 0.348578i | \(-0.886665\pi\) | ||
0.937280 | − | 0.348578i | \(-0.113335\pi\) | |||||||
\(44\) | 1.33972 | 0.201970 | ||||||||
\(45\) | −4.35752 | − | 14.5085i | −0.649581 | − | 2.16280i | ||||
\(46\) | 5.42167 | 0.799381 | ||||||||
\(47\) | 7.71296i | 1.12505i | 0.826780 | + | 0.562525i | \(0.190170\pi\) | ||||
−0.826780 | + | 0.562525i | \(0.809830\pi\) | |||||||
\(48\) | − | 13.7600i | − | 1.98608i | ||||||
\(49\) | −14.7178 | −2.10255 | ||||||||
\(50\) | −4.11040 | − | 6.22560i | −0.581298 | − | 0.880433i | ||||
\(51\) | −17.8998 | −2.50648 | ||||||||
\(52\) | 0.970368i | 0.134566i | ||||||||
\(53\) | 10.1745i | 1.39758i | 0.715329 | + | 0.698788i | \(0.246277\pi\) | ||||
−0.715329 | + | 0.698788i | \(0.753723\pi\) | |||||||
\(54\) | 17.6082 | 2.39618 | ||||||||
\(55\) | −3.81052 | − | 12.6873i | −0.513811 | − | 1.71075i | ||||
\(56\) | 12.3340 | 1.64820 | ||||||||
\(57\) | 3.85081i | 0.510052i | ||||||||
\(58\) | − | 2.70329i | − | 0.354959i | ||||||
\(59\) | 5.66965 | 0.738126 | 0.369063 | − | 0.929404i | \(-0.379679\pi\) | ||||
0.369063 | + | 0.929404i | \(0.379679\pi\) | |||||||
\(60\) | 1.51412 | − | 0.454752i | 0.195471 | − | 0.0587083i | ||||
\(61\) | 4.76640 | 0.610275 | 0.305138 | − | 0.952308i | \(-0.401298\pi\) | ||||
0.305138 | + | 0.952308i | \(0.401298\pi\) | |||||||
\(62\) | − | 1.66239i | − | 0.211124i | ||||||
\(63\) | 31.5719i | 3.97768i | ||||||||
\(64\) | −6.90245 | −0.862807 | ||||||||
\(65\) | 9.18949 | − | 2.75999i | 1.13982 | − | 0.342335i | ||||
\(66\) | 27.6354 | 3.40169 | ||||||||
\(67\) | 14.0103i | 1.71163i | 0.517283 | + | 0.855814i | \(0.326943\pi\) | ||||
−0.517283 | + | 0.855814i | \(0.673057\pi\) | |||||||
\(68\) | − | 1.29471i | − | 0.157006i | ||||||
\(69\) | 11.3608 | 1.36768 | ||||||||
\(70\) | 4.47230 | + | 14.8907i | 0.534543 | + | 1.77978i | ||||
\(71\) | −3.96855 | −0.470980 | −0.235490 | − | 0.971877i | \(-0.575669\pi\) | ||||
−0.235490 | + | 0.971877i | \(0.575669\pi\) | |||||||
\(72\) | − | 17.9303i | − | 2.11311i | ||||||
\(73\) | 8.92040i | 1.04405i | 0.852929 | + | 0.522027i | \(0.174824\pi\) | ||||
−0.852929 | + | 0.522027i | \(0.825176\pi\) | |||||||
\(74\) | −10.9319 | −1.27081 | ||||||||
\(75\) | −8.61312 | − | 13.0454i | −0.994557 | − | 1.50635i | ||||
\(76\) | −0.278532 | −0.0319498 | ||||||||
\(77\) | 27.6087i | 3.14630i | ||||||||
\(78\) | 20.0166i | 2.26643i | ||||||||
\(79\) | −1.77420 | −0.199614 | −0.0998068 | − | 0.995007i | \(-0.531822\pi\) | ||||
−0.0998068 | + | 0.995007i | \(0.531822\pi\) | |||||||
\(80\) | −2.83082 | − | 9.42532i | −0.316495 | − | 1.05378i | ||||
\(81\) | 16.5729 | 1.84143 | ||||||||
\(82\) | − | 9.62761i | − | 1.06319i | ||||||
\(83\) | − | 9.93218i | − | 1.09020i | −0.838372 | − | 0.545099i | \(-0.816492\pi\) | ||
0.838372 | − | 0.545099i | \(-0.183508\pi\) | |||||||
\(84\) | −3.29485 | −0.359498 | ||||||||
\(85\) | −12.2610 | + | 3.68250i | −1.32990 | + | 0.399423i | ||||
\(86\) | 6.82087 | 0.735514 | ||||||||
\(87\) | − | 5.66459i | − | 0.607308i | ||||||
\(88\) | − | 15.6795i | − | 1.67144i | ||||||
\(89\) | 7.03898 | 0.746131 | 0.373065 | − | 0.927805i | \(-0.378307\pi\) | ||||
0.373065 | + | 0.927805i | \(0.378307\pi\) | |||||||
\(90\) | 21.6471 | − | 6.50153i | 2.28180 | − | 0.685322i | ||||
\(91\) | −19.9972 | −2.09627 | ||||||||
\(92\) | 0.821736i | 0.0856719i | ||||||||
\(93\) | − | 3.48346i | − | 0.361217i | ||||||
\(94\) | −11.5079 | −1.18695 | ||||||||
\(95\) | 0.792221 | + | 2.63773i | 0.0812802 | + | 0.270625i | ||||
\(96\) | 3.98098 | 0.406307 | ||||||||
\(97\) | − | 5.03884i | − | 0.511617i | −0.966727 | − | 0.255808i | \(-0.917658\pi\) | ||
0.966727 | − | 0.255808i | \(-0.0823416\pi\) | |||||||
\(98\) | − | 21.9594i | − | 2.21823i | ||||||
\(99\) | 40.1356 | 4.03378 | ||||||||
\(100\) | 0.943584 | − | 0.622993i | 0.0943584 | − | 0.0622993i | ||||
\(101\) | −8.87959 | −0.883552 | −0.441776 | − | 0.897125i | \(-0.645651\pi\) | ||||
−0.441776 | + | 0.897125i | \(0.645651\pi\) | |||||||
\(102\) | − | 26.7070i | − | 2.64438i | ||||||
\(103\) | 3.12126i | 0.307547i | 0.988106 | + | 0.153774i | \(0.0491427\pi\) | ||||
−0.988106 | + | 0.153774i | \(0.950857\pi\) | |||||||
\(104\) | 11.3568 | 1.11363 | ||||||||
\(105\) | 9.37147 | + | 31.2027i | 0.914562 | + | 3.04507i | ||||
\(106\) | −15.1806 | −1.47447 | ||||||||
\(107\) | 2.37926i | 0.230012i | 0.993365 | + | 0.115006i | \(0.0366887\pi\) | ||||
−0.993365 | + | 0.115006i | \(0.963311\pi\) | |||||||
\(108\) | 2.66879i | 0.256805i | ||||||||
\(109\) | 10.9286 | 1.04677 | 0.523386 | − | 0.852096i | \(-0.324669\pi\) | ||||
0.523386 | + | 0.852096i | \(0.324669\pi\) | |||||||
\(110\) | 18.9297 | − | 5.68540i | 1.80488 | − | 0.542081i | ||||
\(111\) | −22.9072 | −2.17426 | ||||||||
\(112\) | 20.5104i | 1.93805i | ||||||||
\(113\) | 12.3477i | 1.16157i | 0.814055 | + | 0.580787i | \(0.197255\pi\) | ||||
−0.814055 | + | 0.580787i | \(0.802745\pi\) | |||||||
\(114\) | −5.74550 | −0.538116 | ||||||||
\(115\) | 7.78193 | − | 2.33724i | 0.725669 | − | 0.217949i | ||||
\(116\) | 0.409724 | 0.0380419 | ||||||||
\(117\) | 29.0706i | 2.68757i | ||||||||
\(118\) | 8.45926i | 0.778738i | ||||||||
\(119\) | 26.6811 | 2.44585 | ||||||||
\(120\) | −5.32225 | − | 17.7206i | −0.485853 | − | 1.61766i | ||||
\(121\) | 24.0974 | 2.19068 | ||||||||
\(122\) | 7.11159i | 0.643853i | ||||||||
\(123\) | − | 20.1741i | − | 1.81904i | ||||||
\(124\) | 0.251961 | 0.0226268 | ||||||||
\(125\) | −8.58363 | − | 7.16389i | −0.767743 | − | 0.640758i | ||||
\(126\) | −47.1061 | −4.19654 | ||||||||
\(127\) | 8.83493i | 0.783974i | 0.919971 | + | 0.391987i | \(0.128212\pi\) | ||||
−0.919971 | + | 0.391987i | \(0.871788\pi\) | |||||||
\(128\) | − | 12.8453i | − | 1.13537i | ||||||
\(129\) | 14.2928 | 1.25841 | ||||||||
\(130\) | 4.11798 | + | 13.7110i | 0.361170 | + | 1.20253i | ||||
\(131\) | 10.6930 | 0.934252 | 0.467126 | − | 0.884191i | \(-0.345289\pi\) | ||||
0.467126 | + | 0.884191i | \(0.345289\pi\) | |||||||
\(132\) | 4.18857i | 0.364568i | ||||||||
\(133\) | − | 5.73994i | − | 0.497716i | ||||||
\(134\) | −20.9037 | −1.80580 | ||||||||
\(135\) | 25.2738 | − | 7.59078i | 2.17522 | − | 0.653310i | ||||
\(136\) | −15.1528 | −1.29934 | ||||||||
\(137\) | 6.53145i | 0.558020i | 0.960288 | + | 0.279010i | \(0.0900062\pi\) | ||||
−0.960288 | + | 0.279010i | \(0.909994\pi\) | |||||||
\(138\) | 16.9506i | 1.44293i | ||||||||
\(139\) | 9.68333 | 0.821329 | 0.410664 | − | 0.911787i | \(-0.365297\pi\) | ||||
0.410664 | + | 0.911787i | \(0.365297\pi\) | |||||||
\(140\) | −2.25691 | + | 0.677845i | −0.190744 | + | 0.0572884i | ||||
\(141\) | −24.1142 | −2.03079 | ||||||||
\(142\) | − | 5.92117i | − | 0.496893i | ||||||
\(143\) | 25.4213i | 2.12584i | ||||||||
\(144\) | 29.8166 | 2.48471 | ||||||||
\(145\) | −1.16537 | − | 3.88014i | −0.0967786 | − | 0.322228i | ||||
\(146\) | −13.3095 | −1.10150 | ||||||||
\(147\) | − | 46.0147i | − | 3.79522i | ||||||
\(148\) | − | 1.65690i | − | 0.136196i | ||||||
\(149\) | −14.7898 | −1.21163 | −0.605814 | − | 0.795606i | \(-0.707153\pi\) | ||||
−0.605814 | + | 0.795606i | \(0.707153\pi\) | |||||||
\(150\) | 19.4641 | − | 12.8510i | 1.58924 | − | 1.04928i | ||||
\(151\) | −1.21804 | −0.0991228 | −0.0495614 | − | 0.998771i | \(-0.515782\pi\) | ||||
−0.0495614 | + | 0.998771i | \(0.515782\pi\) | |||||||
\(152\) | 3.25983i | 0.264407i | ||||||||
\(153\) | − | 38.7872i | − | 3.13576i | ||||||
\(154\) | −41.1929 | −3.31942 | ||||||||
\(155\) | −0.716646 | − | 2.38610i | −0.0575624 | − | 0.191656i | ||||
\(156\) | −3.03381 | −0.242899 | ||||||||
\(157\) | − | 9.48425i | − | 0.756926i | −0.925616 | − | 0.378463i | \(-0.876453\pi\) | ||
0.925616 | − | 0.378463i | \(-0.123547\pi\) | |||||||
\(158\) | − | 2.64716i | − | 0.210597i | ||||||
\(159\) | −31.8101 | −2.52271 | ||||||||
\(160\) | 2.72689 | − | 0.819001i | 0.215580 | − | 0.0647477i | ||||
\(161\) | −16.9342 | −1.33460 | ||||||||
\(162\) | 24.7271i | 1.94275i | ||||||||
\(163\) | 2.02231i | 0.158400i | 0.996859 | + | 0.0791999i | \(0.0252365\pi\) | ||||
−0.996859 | + | 0.0791999i | \(0.974763\pi\) | |||||||
\(164\) | 1.45921 | 0.113945 | ||||||||
\(165\) | 39.6662 | − | 11.9134i | 3.08801 | − | 0.927460i | ||||
\(166\) | 14.8191 | 1.15018 | ||||||||
\(167\) | 12.0440i | 0.931992i | 0.884787 | + | 0.465996i | \(0.154304\pi\) | ||||
−0.884787 | + | 0.465996i | \(0.845696\pi\) | |||||||
\(168\) | 38.5617i | 2.97510i | ||||||||
\(169\) | −5.41287 | −0.416375 | ||||||||
\(170\) | −5.49439 | − | 18.2938i | −0.421400 | − | 1.40307i | ||||
\(171\) | −8.34434 | −0.638107 | ||||||||
\(172\) | 1.03381i | 0.0788270i | ||||||||
\(173\) | 10.6055i | 0.806322i | 0.915129 | + | 0.403161i | \(0.132089\pi\) | ||||
−0.915129 | + | 0.403161i | \(0.867911\pi\) | |||||||
\(174\) | 8.45171 | 0.640723 | ||||||||
\(175\) | 12.8386 | + | 19.4452i | 0.970503 | + | 1.46992i | ||||
\(176\) | 26.0737 | 1.96538 | ||||||||
\(177\) | 17.7259i | 1.33236i | ||||||||
\(178\) | 10.5023i | 0.787184i | ||||||||
\(179\) | 15.6670 | 1.17101 | 0.585505 | − | 0.810669i | \(-0.300896\pi\) | ||||
0.585505 | + | 0.810669i | \(0.300896\pi\) | |||||||
\(180\) | 0.985406 | + | 3.28094i | 0.0734478 | + | 0.244547i | ||||
\(181\) | 6.00433 | 0.446298 | 0.223149 | − | 0.974784i | \(-0.428366\pi\) | ||||
0.223149 | + | 0.974784i | \(0.428366\pi\) | |||||||
\(182\) | − | 29.8363i | − | 2.21161i | ||||||
\(183\) | 14.9020i | 1.10158i | ||||||||
\(184\) | 9.61728 | 0.708995 | ||||||||
\(185\) | −15.6910 | + | 4.71267i | −1.15363 | + | 0.346483i | ||||
\(186\) | 5.19740 | 0.381092 | ||||||||
\(187\) | − | 33.9183i | − | 2.48035i | ||||||
\(188\) | − | 1.74420i | − | 0.127209i | ||||||
\(189\) | −54.9981 | −4.00052 | ||||||||
\(190\) | −3.93556 | + | 1.18201i | −0.285515 | + | 0.0857523i | ||||
\(191\) | −14.5050 | −1.04954 | −0.524772 | − | 0.851243i | \(-0.675849\pi\) | ||||
−0.524772 | + | 0.851243i | \(0.675849\pi\) | |||||||
\(192\) | − | 21.5802i | − | 1.55742i | ||||||
\(193\) | 3.41996i | 0.246174i | 0.992396 | + | 0.123087i | \(0.0392795\pi\) | ||||
−0.992396 | + | 0.123087i | \(0.960721\pi\) | |||||||
\(194\) | 7.51808 | 0.539767 | ||||||||
\(195\) | 8.62900 | + | 28.7306i | 0.617935 | + | 2.05744i | ||||
\(196\) | 3.32827 | 0.237734 | ||||||||
\(197\) | − | 20.5076i | − | 1.46111i | −0.682855 | − | 0.730554i | \(-0.739262\pi\) | ||
0.682855 | − | 0.730554i | \(-0.260738\pi\) | |||||||
\(198\) | 59.8834i | 4.25573i | ||||||||
\(199\) | 2.77785 | 0.196917 | 0.0984583 | − | 0.995141i | \(-0.468609\pi\) | ||||
0.0984583 | + | 0.995141i | \(0.468609\pi\) | |||||||
\(200\) | −7.29128 | − | 11.0433i | −0.515571 | − | 0.780883i | ||||
\(201\) | −43.8026 | −3.08959 | ||||||||
\(202\) | − | 13.2486i | − | 0.932166i | ||||||
\(203\) | 8.44353i | 0.592620i | ||||||||
\(204\) | 4.04785 | 0.283406 | ||||||||
\(205\) | −4.15039 | − | 13.8189i | −0.289876 | − | 0.965153i | ||||
\(206\) | −4.65700 | −0.324469 | ||||||||
\(207\) | 24.6178i | 1.71105i | ||||||||
\(208\) | 18.8854i | 1.30947i | ||||||||
\(209\) | −7.29688 | −0.504735 | ||||||||
\(210\) | −46.5551 | + | 13.9825i | −3.21261 | + | 0.964882i | ||||
\(211\) | 22.9148 | 1.57752 | 0.788760 | − | 0.614701i | \(-0.210723\pi\) | ||||
0.788760 | + | 0.614701i | \(0.210723\pi\) | |||||||
\(212\) | − | 2.30085i | − | 0.158023i | ||||||
\(213\) | − | 12.4075i | − | 0.850147i | ||||||
\(214\) | −3.54991 | −0.242667 | ||||||||
\(215\) | 9.79027 | − | 2.94043i | 0.667691 | − | 0.200536i | ||||
\(216\) | 31.2345 | 2.12524 | ||||||||
\(217\) | 5.19237i | 0.352481i | ||||||||
\(218\) | 16.3058i | 1.10437i | ||||||||
\(219\) | −27.8893 | −1.88458 | ||||||||
\(220\) | 0.861708 | + | 2.86909i | 0.0580963 | + | 0.193434i | ||||
\(221\) | 24.5673 | 1.65257 | ||||||||
\(222\) | − | 34.1782i | − | 2.29389i | ||||||
\(223\) | 7.52468i | 0.503890i | 0.967742 | + | 0.251945i | \(0.0810701\pi\) | ||||
−0.967742 | + | 0.251945i | \(0.918930\pi\) | |||||||
\(224\) | −5.93397 | −0.396480 | ||||||||
\(225\) | 28.2682 | − | 18.6638i | 1.88454 | − | 1.24425i | ||||
\(226\) | −18.4231 | −1.22549 | ||||||||
\(227\) | − | 0.950254i | − | 0.0630706i | −0.999503 | − | 0.0315353i | \(-0.989960\pi\) | ||
0.999503 | − | 0.0315353i | \(-0.0100397\pi\) | |||||||
\(228\) | − | 0.870818i | − | 0.0576713i | ||||||
\(229\) | −14.6545 | −0.968396 | −0.484198 | − | 0.874958i | \(-0.660889\pi\) | ||||
−0.484198 | + | 0.874958i | \(0.660889\pi\) | |||||||
\(230\) | 3.48722 | + | 11.6108i | 0.229941 | + | 0.765596i | ||||
\(231\) | −86.3174 | −5.67927 | ||||||||
\(232\) | − | 4.79526i | − | 0.314824i | ||||||
\(233\) | − | 19.1614i | − | 1.25530i | −0.778495 | − | 0.627651i | \(-0.784016\pi\) | ||
0.778495 | − | 0.627651i | \(-0.215984\pi\) | |||||||
\(234\) | −43.3740 | −2.83545 | ||||||||
\(235\) | −16.5178 | + | 4.96099i | −1.07750 | + | 0.323619i | ||||
\(236\) | −1.28213 | −0.0834595 | ||||||||
\(237\) | − | 5.54697i | − | 0.360315i | ||||||
\(238\) | 39.8089i | 2.58043i | ||||||||
\(239\) | 3.88636 | 0.251388 | 0.125694 | − | 0.992069i | \(-0.459884\pi\) | ||||
0.125694 | + | 0.992069i | \(0.459884\pi\) | |||||||
\(240\) | 29.4679 | − | 8.85044i | 1.90214 | − | 0.571293i | ||||
\(241\) | 1.00000 | 0.0644157 | ||||||||
\(242\) | 35.9540i | 2.31121i | ||||||||
\(243\) | 16.4097i | 1.05268i | ||||||||
\(244\) | −1.07787 | −0.0690035 | ||||||||
\(245\) | −9.46653 | − | 31.5191i | −0.604794 | − | 2.01368i | ||||
\(246\) | 30.1003 | 1.91913 | ||||||||
\(247\) | − | 5.28518i | − | 0.336288i | ||||||
\(248\) | − | 2.94885i | − | 0.187252i | ||||||
\(249\) | 31.0525 | 1.96787 | ||||||||
\(250\) | 10.6887 | − | 12.8070i | 0.676013 | − | 0.809985i | ||||
\(251\) | −13.8452 | −0.873904 | −0.436952 | − | 0.899485i | \(-0.643942\pi\) | ||||
−0.436952 | + | 0.899485i | \(0.643942\pi\) | |||||||
\(252\) | − | 7.13964i | − | 0.449755i | ||||||
\(253\) | 21.5275i | 1.35342i | ||||||||
\(254\) | −13.1819 | −0.827109 | ||||||||
\(255\) | −11.5132 | − | 38.3336i | −0.720984 | − | 2.40054i | ||||
\(256\) | 5.36056 | 0.335035 | ||||||||
\(257\) | − | 6.17221i | − | 0.385012i | −0.981296 | − | 0.192506i | \(-0.938338\pi\) | ||
0.981296 | − | 0.192506i | \(-0.0616615\pi\) | |||||||
\(258\) | 21.3252i | 1.32765i | ||||||||
\(259\) | 34.1451 | 2.12167 | ||||||||
\(260\) | −2.07810 | + | 0.624142i | −0.128878 | + | 0.0387076i | ||||
\(261\) | 12.2746 | 0.759781 | ||||||||
\(262\) | 15.9542i | 0.985656i | ||||||||
\(263\) | 14.8523i | 0.915835i | 0.888995 | + | 0.457917i | \(0.151404\pi\) | ||||
−0.888995 | + | 0.457917i | \(0.848596\pi\) | |||||||
\(264\) | 49.0214 | 3.01706 | ||||||||
\(265\) | −21.7893 | + | 6.54425i | −1.33851 | + | 0.402010i | ||||
\(266\) | 8.56414 | 0.525101 | ||||||||
\(267\) | 22.0071i | 1.34681i | ||||||||
\(268\) | − | 3.16827i | − | 0.193533i | ||||||
\(269\) | −24.7594 | −1.50960 | −0.754802 | − | 0.655952i | \(-0.772267\pi\) | ||||
−0.754802 | + | 0.655952i | \(0.772267\pi\) | |||||||
\(270\) | 11.3256 | + | 37.7091i | 0.689256 | + | 2.29490i | ||||
\(271\) | 21.9399 | 1.33275 | 0.666376 | − | 0.745616i | \(-0.267845\pi\) | ||||
0.666376 | + | 0.745616i | \(0.267845\pi\) | |||||||
\(272\) | − | 25.1977i | − | 1.52784i | ||||||
\(273\) | − | 62.5204i | − | 3.78390i | ||||||
\(274\) | −9.74509 | −0.588723 | ||||||||
\(275\) | 24.7197 | − | 16.3210i | 1.49065 | − | 0.984190i | ||||
\(276\) | −2.56912 | −0.154643 | ||||||||
\(277\) | − | 17.9537i | − | 1.07873i | −0.842071 | − | 0.539367i | \(-0.818664\pi\) | ||
0.842071 | − | 0.539367i | \(-0.181336\pi\) | |||||||
\(278\) | 14.4478i | 0.866519i | ||||||||
\(279\) | 7.54832 | 0.451906 | ||||||||
\(280\) | 7.93325 | + | 26.4140i | 0.474102 | + | 1.57854i | ||||
\(281\) | 14.9520 | 0.891960 | 0.445980 | − | 0.895043i | \(-0.352855\pi\) | ||||
0.445980 | + | 0.895043i | \(0.352855\pi\) | |||||||
\(282\) | − | 35.9791i | − | 2.14252i | ||||||
\(283\) | − | 16.8819i | − | 1.00352i | −0.865006 | − | 0.501761i | \(-0.832686\pi\) | ||
0.865006 | − | 0.501761i | \(-0.167314\pi\) | |||||||
\(284\) | 0.897443 | 0.0532534 | ||||||||
\(285\) | −8.24675 | + | 2.47685i | −0.488495 | + | 0.146716i | ||||
\(286\) | −37.9293 | −2.24281 | ||||||||
\(287\) | 30.0712i | 1.77505i | ||||||||
\(288\) | 8.62641i | 0.508316i | ||||||||
\(289\) | −15.7787 | −0.928160 | ||||||||
\(290\) | 5.78926 | − | 1.73876i | 0.339957 | − | 0.102103i | ||||
\(291\) | 15.7537 | 0.923500 | ||||||||
\(292\) | − | 2.01725i | − | 0.118051i | ||||||
\(293\) | − | 16.3651i | − | 0.956061i | −0.878343 | − | 0.478030i | \(-0.841351\pi\) | ||
0.878343 | − | 0.478030i | \(-0.158649\pi\) | |||||||
\(294\) | 68.6550 | 4.00404 | ||||||||
\(295\) | 3.64673 | + | 12.1419i | 0.212321 | + | 0.706930i | ||||
\(296\) | −19.3917 | −1.12712 | ||||||||
\(297\) | 69.9161i | 4.05694i | ||||||||
\(298\) | − | 22.0668i | − | 1.27829i | ||||||
\(299\) | −15.5926 | −0.901741 | ||||||||
\(300\) | 1.94776 | + | 2.95008i | 0.112454 | + | 0.170323i | ||||
\(301\) | −21.3045 | −1.22797 | ||||||||
\(302\) | − | 1.81735i | − | 0.104577i | ||||||
\(303\) | − | 27.7617i | − | 1.59487i | ||||||
\(304\) | −5.42081 | −0.310905 | ||||||||
\(305\) | 3.06576 | + | 10.2076i | 0.175545 | + | 0.584483i | ||||
\(306\) | 57.8715 | 3.30829 | ||||||||
\(307\) | − | 19.0297i | − | 1.08608i | −0.839706 | − | 0.543041i | \(-0.817273\pi\) | ||
0.839706 | − | 0.543041i | \(-0.182727\pi\) | |||||||
\(308\) | − | 6.24340i | − | 0.355751i | ||||||
\(309\) | −9.75850 | −0.555142 | ||||||||
\(310\) | 3.56012 | − | 1.06925i | 0.202201 | − | 0.0607295i | ||||
\(311\) | −16.3005 | −0.924318 | −0.462159 | − | 0.886797i | \(-0.652925\pi\) | ||||
−0.462159 | + | 0.886797i | \(0.652925\pi\) | |||||||
\(312\) | 35.5066i | 2.01017i | ||||||||
\(313\) | 1.71271i | 0.0968084i | 0.998828 | + | 0.0484042i | \(0.0154136\pi\) | ||||
−0.998828 | + | 0.0484042i | \(0.984586\pi\) | |||||||
\(314\) | 14.1507 | 0.798573 | ||||||||
\(315\) | −67.6132 | + | 20.3071i | −3.80957 | + | 1.14417i | ||||
\(316\) | 0.401217 | 0.0225702 | ||||||||
\(317\) | − | 9.33229i | − | 0.524154i | −0.965047 | − | 0.262077i | \(-0.915593\pi\) | ||
0.965047 | − | 0.262077i | \(-0.0844074\pi\) | |||||||
\(318\) | − | 47.4615i | − | 2.66151i | ||||||
\(319\) | 10.7338 | 0.600978 | ||||||||
\(320\) | −4.43967 | − | 14.7820i | −0.248185 | − | 0.826341i | ||||
\(321\) | −7.43865 | −0.415185 | ||||||||
\(322\) | − | 25.2663i | − | 1.40803i | ||||||
\(323\) | 7.05172i | 0.392368i | ||||||||
\(324\) | −3.74777 | −0.208209 | ||||||||
\(325\) | 11.8214 | + | 17.9046i | 0.655733 | + | 0.993171i | ||||
\(326\) | −3.01734 | −0.167115 | ||||||||
\(327\) | 34.1678i | 1.88949i | ||||||||
\(328\) | − | 17.0780i | − | 0.942977i | ||||||
\(329\) | 35.9442 | 1.98167 | ||||||||
\(330\) | 17.7752 | + | 59.1830i | 0.978490 | + | 3.25792i | ||||
\(331\) | 12.2007 | 0.670613 | 0.335306 | − | 0.942109i | \(-0.391160\pi\) | ||||
0.335306 | + | 0.942109i | \(0.391160\pi\) | |||||||
\(332\) | 2.24605i | 0.123268i | ||||||||
\(333\) | − | 49.6378i | − | 2.72014i | ||||||
\(334\) | −17.9699 | −0.983271 | ||||||||
\(335\) | −30.0039 | + | 9.01143i | −1.63929 | + | 0.492347i | ||||
\(336\) | −64.1248 | −3.49829 | ||||||||
\(337\) | − | 1.32894i | − | 0.0723920i | −0.999345 | − | 0.0361960i | \(-0.988476\pi\) | ||
0.999345 | − | 0.0361960i | \(-0.0115241\pi\) | |||||||
\(338\) | − | 8.07614i | − | 0.439284i | ||||||
\(339\) | −38.6046 | −2.09671 | ||||||||
\(340\) | 2.77270 | − | 0.832757i | 0.150371 | − | 0.0451626i | ||||
\(341\) | 6.60078 | 0.357452 | ||||||||
\(342\) | − | 12.4500i | − | 0.673217i | ||||||
\(343\) | 35.9669i | 1.94203i | ||||||||
\(344\) | 12.0993 | 0.652350 | ||||||||
\(345\) | 7.30729 | + | 24.3299i | 0.393411 | + | 1.30988i | ||||
\(346\) | −15.8237 | −0.850687 | ||||||||
\(347\) | 2.21075i | 0.118679i | 0.998238 | + | 0.0593396i | \(0.0188995\pi\) | ||||
−0.998238 | + | 0.0593396i | \(0.981101\pi\) | |||||||
\(348\) | 1.28099i | 0.0686680i | ||||||||
\(349\) | −17.8704 | −0.956580 | −0.478290 | − | 0.878202i | \(-0.658743\pi\) | ||||
−0.478290 | + | 0.878202i | \(0.658743\pi\) | |||||||
\(350\) | −29.0128 | + | 19.1554i | −1.55080 | + | 1.02390i | ||||
\(351\) | −50.6407 | −2.70300 | ||||||||
\(352\) | 7.54354i | 0.402072i | ||||||||
\(353\) | 9.10115i | 0.484405i | 0.970226 | + | 0.242203i | \(0.0778699\pi\) | ||||
−0.970226 | + | 0.242203i | \(0.922130\pi\) | |||||||
\(354\) | −26.4475 | −1.40567 | ||||||||
\(355\) | −2.55257 | − | 8.49889i | −0.135477 | − | 0.451074i | ||||
\(356\) | −1.59179 | −0.0843647 | ||||||||
\(357\) | 83.4174i | 4.41492i | ||||||||
\(358\) | 23.3756i | 1.23544i | ||||||||
\(359\) | 23.0382 | 1.21591 | 0.607956 | − | 0.793971i | \(-0.291990\pi\) | ||||
0.607956 | + | 0.793971i | \(0.291990\pi\) | |||||||
\(360\) | 38.3989 | − | 11.5328i | 2.02380 | − | 0.607833i | ||||
\(361\) | −17.4830 | −0.920155 | ||||||||
\(362\) | 8.95861i | 0.470854i | ||||||||
\(363\) | 75.3396i | 3.95430i | ||||||||
\(364\) | 4.52214 | 0.237025 | ||||||||
\(365\) | −19.1036 | + | 5.73762i | −0.999928 | + | 0.300320i | ||||
\(366\) | −22.2341 | −1.16219 | ||||||||
\(367\) | − | 32.4970i | − | 1.69633i | −0.529734 | − | 0.848164i | \(-0.677708\pi\) | ||
0.529734 | − | 0.848164i | \(-0.322292\pi\) | |||||||
\(368\) | 15.9927i | 0.833677i | ||||||||
\(369\) | 43.7154 | 2.27573 | ||||||||
\(370\) | −7.03143 | − | 23.4114i | −0.365546 | − | 1.21710i | ||||
\(371\) | 47.4156 | 2.46170 | ||||||||
\(372\) | 0.787745i | 0.0408427i | ||||||||
\(373\) | 35.2363i | 1.82447i | 0.409671 | + | 0.912234i | \(0.365644\pi\) | ||||
−0.409671 | + | 0.912234i | \(0.634356\pi\) | |||||||
\(374\) | 50.6069 | 2.61682 | ||||||||
\(375\) | 22.3976 | − | 26.8364i | 1.15661 | − | 1.38582i | ||||
\(376\) | −20.4135 | −1.05274 | ||||||||
\(377\) | 7.77458i | 0.400411i | ||||||||
\(378\) | − | 82.0585i | − | 4.22063i | ||||||
\(379\) | 5.18922 | 0.266553 | 0.133276 | − | 0.991079i | \(-0.457450\pi\) | ||||
0.133276 | + | 0.991079i | \(0.457450\pi\) | |||||||
\(380\) | −0.179152 | − | 0.596493i | −0.00919031 | − | 0.0305995i | ||||
\(381\) | −27.6221 | −1.41512 | ||||||||
\(382\) | − | 21.6418i | − | 1.10729i | ||||||
\(383\) | − | 5.72356i | − | 0.292460i | −0.989251 | − | 0.146230i | \(-0.953286\pi\) | ||
0.989251 | − | 0.146230i | \(-0.0467140\pi\) | |||||||
\(384\) | 40.1602 | 2.04942 | ||||||||
\(385\) | −59.1257 | + | 17.7579i | −3.01333 | + | 0.905029i | ||||
\(386\) | −5.10267 | −0.259719 | ||||||||
\(387\) | 30.9711i | 1.57435i | ||||||||
\(388\) | 1.13948i | 0.0578483i | ||||||||
\(389\) | −24.8562 | −1.26026 | −0.630130 | − | 0.776490i | \(-0.716998\pi\) | ||||
−0.630130 | + | 0.776490i | \(0.716998\pi\) | |||||||
\(390\) | −42.8667 | + | 12.8747i | −2.17064 | + | 0.651935i | ||||
\(391\) | 20.8043 | 1.05212 | ||||||||
\(392\) | − | 38.9529i | − | 1.96742i | ||||||
\(393\) | 33.4312i | 1.68638i | ||||||||
\(394\) | 30.5979 | 1.54150 | ||||||||
\(395\) | −1.14117 | − | 3.79957i | −0.0574185 | − | 0.191177i | ||||
\(396\) | −9.07623 | −0.456098 | ||||||||
\(397\) | 34.8213i | 1.74763i | 0.486259 | + | 0.873815i | \(0.338361\pi\) | ||||
−0.486259 | + | 0.873815i | \(0.661639\pi\) | |||||||
\(398\) | 4.14462i | 0.207751i | ||||||||
\(399\) | 17.9457 | 0.898408 | ||||||||
\(400\) | 18.3641 | − | 12.1248i | 0.918206 | − | 0.606238i | ||||
\(401\) | −32.1370 | −1.60484 | −0.802422 | − | 0.596757i | \(-0.796456\pi\) | ||||
−0.802422 | + | 0.596757i | \(0.796456\pi\) | |||||||
\(402\) | − | 65.3545i | − | 3.25959i | ||||||
\(403\) | 4.78100i | 0.238158i | ||||||||
\(404\) | 2.00802 | 0.0999028 | ||||||||
\(405\) | 10.6597 | + | 35.4918i | 0.529684 | + | 1.76360i | ||||
\(406\) | −12.5980 | −0.625227 | ||||||||
\(407\) | − | 43.4068i | − | 2.15160i | ||||||
\(408\) | − | 47.3745i | − | 2.34539i | ||||||
\(409\) | 30.4791 | 1.50709 | 0.753547 | − | 0.657395i | \(-0.228341\pi\) | ||||
0.753547 | + | 0.657395i | \(0.228341\pi\) | |||||||
\(410\) | 20.6181 | − | 6.19249i | 1.01826 | − | 0.305825i | ||||
\(411\) | −20.4203 | −1.00726 | ||||||||
\(412\) | − | 0.705839i | − | 0.0347742i | ||||||
\(413\) | − | 26.4219i | − | 1.30014i | ||||||
\(414\) | −36.7304 | −1.80520 | ||||||||
\(415\) | 21.2704 | − | 6.38839i | 1.04412 | − | 0.313594i | ||||
\(416\) | −5.46384 | −0.267887 | ||||||||
\(417\) | 30.2745i | 1.48255i | ||||||||
\(418\) | − | 10.8871i | − | 0.532507i | ||||||
\(419\) | 14.0542 | 0.686592 | 0.343296 | − | 0.939227i | \(-0.388457\pi\) | ||||
0.343296 | + | 0.939227i | \(0.388457\pi\) | |||||||
\(420\) | −2.11926 | − | 7.05614i | −0.103409 | − | 0.344304i | ||||
\(421\) | 7.96690 | 0.388283 | 0.194141 | − | 0.980974i | \(-0.437808\pi\) | ||||
0.194141 | + | 0.980974i | \(0.437808\pi\) | |||||||
\(422\) | 34.1895i | 1.66432i | ||||||||
\(423\) | − | 52.2533i | − | 2.54064i | ||||||
\(424\) | −26.9283 | −1.30775 | ||||||||
\(425\) | −15.7726 | − | 23.8892i | −0.765085 | − | 1.15880i | ||||
\(426\) | 18.5123 | 0.896923 | ||||||||
\(427\) | − | 22.2126i | − | 1.07494i | ||||||
\(428\) | − | 0.538043i | − | 0.0260073i | ||||||
\(429\) | −79.4787 | −3.83727 | ||||||||
\(430\) | 4.38720 | + | 14.6073i | 0.211569 | + | 0.704428i | ||||
\(431\) | −39.6560 | −1.91016 | −0.955080 | − | 0.296348i | \(-0.904231\pi\) | ||||
−0.955080 | + | 0.296348i | \(0.904231\pi\) | |||||||
\(432\) | 51.9403i | 2.49898i | ||||||||
\(433\) | 3.27667i | 0.157467i | 0.996896 | + | 0.0787333i | \(0.0250875\pi\) | ||||
−0.996896 | + | 0.0787333i | \(0.974912\pi\) | |||||||
\(434\) | −7.74715 | −0.371875 | ||||||||
\(435\) | 12.1311 | − | 3.64347i | 0.581641 | − | 0.174691i | ||||
\(436\) | −2.47139 | −0.118358 | ||||||||
\(437\) | − | 4.47565i | − | 0.214099i | ||||||
\(438\) | − | 41.6115i | − | 1.98827i | ||||||
\(439\) | 14.5064 | 0.692355 | 0.346177 | − | 0.938169i | \(-0.387480\pi\) | ||||
0.346177 | + | 0.938169i | \(0.387480\pi\) | |||||||
\(440\) | 33.5787 | − | 10.0851i | 1.60080 | − | 0.480788i | ||||
\(441\) | 99.7094 | 4.74807 | ||||||||
\(442\) | 36.6550i | 1.74350i | ||||||||
\(443\) | − | 19.5267i | − | 0.927742i | −0.885903 | − | 0.463871i | \(-0.846460\pi\) | ||
0.885903 | − | 0.463871i | \(-0.153540\pi\) | |||||||
\(444\) | 5.18022 | 0.245842 | ||||||||
\(445\) | 4.52749 | + | 15.0744i | 0.214623 | + | 0.714596i | ||||
\(446\) | −11.2270 | −0.531614 | ||||||||
\(447\) | − | 46.2397i | − | 2.18706i | ||||||
\(448\) | 32.1671i | 1.51975i | ||||||||
\(449\) | 2.85475 | 0.134724 | 0.0673621 | − | 0.997729i | \(-0.478542\pi\) | ||||
0.0673621 | + | 0.997729i | \(0.478542\pi\) | |||||||
\(450\) | 27.8469 | + | 42.1768i | 1.31271 | + | 1.98823i | ||||
\(451\) | 38.2279 | 1.80008 | ||||||||
\(452\) | − | 2.79230i | − | 0.131339i | ||||||
\(453\) | − | 3.80815i | − | 0.178923i | ||||||
\(454\) | 1.41780 | 0.0665408 | ||||||||
\(455\) | −12.8622 | − | 42.8252i | −0.602990 | − | 2.00768i | ||||
\(456\) | −10.1917 | −0.477271 | ||||||||
\(457\) | 11.7309i | 0.548749i | 0.961623 | + | 0.274375i | \(0.0884708\pi\) | ||||
−0.961623 | + | 0.274375i | \(0.911529\pi\) | |||||||
\(458\) | − | 21.8649i | − | 1.02168i | ||||||
\(459\) | 67.5671 | 3.15376 | ||||||||
\(460\) | −1.75980 | + | 0.528542i | −0.0820510 | + | 0.0246434i | ||||
\(461\) | 1.41285 | 0.0658028 | 0.0329014 | − | 0.999459i | \(-0.489525\pi\) | ||||
0.0329014 | + | 0.999459i | \(0.489525\pi\) | |||||||
\(462\) | − | 128.788i | − | 5.99175i | ||||||
\(463\) | − | 30.3025i | − | 1.40827i | −0.710064 | − | 0.704137i | \(-0.751334\pi\) | ||
0.710064 | − | 0.704137i | \(-0.248666\pi\) | |||||||
\(464\) | 7.97409 | 0.370188 | ||||||||
\(465\) | 7.46004 | − | 2.24056i | 0.345951 | − | 0.103904i | ||||
\(466\) | 28.5892 | 1.32437 | ||||||||
\(467\) | − | 10.2416i | − | 0.473927i | −0.971519 | − | 0.236963i | \(-0.923848\pi\) | ||
0.971519 | − | 0.236963i | \(-0.0761522\pi\) | |||||||
\(468\) | − | 6.57399i | − | 0.303883i | ||||||
\(469\) | 65.2913 | 3.01487 | ||||||||
\(470\) | −7.40192 | − | 24.6450i | −0.341425 | − | 1.13679i | ||||
\(471\) | 29.6521 | 1.36630 | ||||||||
\(472\) | 15.0056i | 0.690687i | ||||||||
\(473\) | 27.0833i | 1.24529i | ||||||||
\(474\) | 8.27623 | 0.380140 | ||||||||
\(475\) | −5.13930 | + | 3.39318i | −0.235807 | + | 0.155690i | ||||
\(476\) | −6.03364 | −0.276552 | ||||||||
\(477\) | − | 68.9296i | − | 3.15607i | ||||||
\(478\) | 5.79855i | 0.265219i | ||||||||
\(479\) | 16.8364 | 0.769275 | 0.384638 | − | 0.923068i | \(-0.374326\pi\) | ||||
0.384638 | + | 0.923068i | \(0.374326\pi\) | |||||||
\(480\) | 2.56057 | + | 8.52552i | 0.116874 | + | 0.389135i | ||||
\(481\) | 31.4399 | 1.43354 | ||||||||
\(482\) | 1.49203i | 0.0679599i | ||||||||
\(483\) | − | 52.9441i | − | 2.40904i | ||||||
\(484\) | −5.44937 | −0.247699 | ||||||||
\(485\) | 10.7910 | − | 3.24099i | 0.489994 | − | 0.147166i | ||||
\(486\) | −24.4836 | −1.11060 | ||||||||
\(487\) | 19.1209i | 0.866452i | 0.901285 | + | 0.433226i | \(0.142625\pi\) | ||||
−0.901285 | + | 0.433226i | \(0.857375\pi\) | |||||||
\(488\) | 12.6150i | 0.571053i | ||||||||
\(489\) | −6.32268 | −0.285921 | ||||||||
\(490\) | 47.0274 | − | 14.1243i | 2.12448 | − | 0.638071i | ||||
\(491\) | 13.6920 | 0.617910 | 0.308955 | − | 0.951077i | \(-0.400021\pi\) | ||||
0.308955 | + | 0.951077i | \(0.400021\pi\) | |||||||
\(492\) | 4.56216i | 0.205678i | ||||||||
\(493\) | − | 10.3732i | − | 0.467185i | ||||||
\(494\) | 7.88563 | 0.354791 | ||||||||
\(495\) | 25.8153 | + | 85.9530i | 1.16031 | + | 3.86330i | ||||
\(496\) | 4.90369 | 0.220182 | ||||||||
\(497\) | 18.4944i | 0.829586i | ||||||||
\(498\) | 46.3312i | 2.07615i | ||||||||
\(499\) | −41.2184 | −1.84519 | −0.922595 | − | 0.385770i | \(-0.873936\pi\) | ||||
−0.922595 | + | 0.385770i | \(0.873936\pi\) | |||||||
\(500\) | 1.94109 | + | 1.62003i | 0.0868084 | + | 0.0724501i | ||||
\(501\) | −37.6550 | −1.68230 | ||||||||
\(502\) | − | 20.6575i | − | 0.921988i | ||||||
\(503\) | 23.7713i | 1.05991i | 0.848025 | + | 0.529956i | \(0.177791\pi\) | ||||
−0.848025 | + | 0.529956i | \(0.822209\pi\) | |||||||
\(504\) | −83.5596 | −3.72204 | ||||||||
\(505\) | −5.71136 | − | 19.0162i | −0.254152 | − | 0.846210i | ||||
\(506\) | −32.1196 | −1.42789 | ||||||||
\(507\) | − | 16.9231i | − | 0.751582i | ||||||
\(508\) | − | 1.99792i | − | 0.0886435i | ||||||
\(509\) | −0.527203 | −0.0233679 | −0.0116839 | − | 0.999932i | \(-0.503719\pi\) | ||||
−0.0116839 | + | 0.999932i | \(0.503719\pi\) | |||||||
\(510\) | 57.1947 | − | 17.1780i | 2.53262 | − | 0.760653i | ||||
\(511\) | 41.5712 | 1.83900 | ||||||||
\(512\) | − | 17.6924i | − | 0.781903i | ||||||
\(513\) | − | 14.5358i | − | 0.641771i | ||||||
\(514\) | 9.20910 | 0.406196 | ||||||||
\(515\) | −6.68438 | + | 2.00760i | −0.294549 | + | 0.0884655i | ||||
\(516\) | −3.23215 | −0.142288 | ||||||||
\(517\) | − | 45.6939i | − | 2.00962i | ||||||
\(518\) | 50.9454i | 2.23841i | ||||||||
\(519\) | −33.1577 | −1.45546 | ||||||||
\(520\) | 7.30472 | + | 24.3213i | 0.320333 | + | 1.06656i | ||||
\(521\) | 19.7412 | 0.864876 | 0.432438 | − | 0.901664i | \(-0.357654\pi\) | ||||
0.432438 | + | 0.901664i | \(0.357654\pi\) | |||||||
\(522\) | 18.3141i | 0.801585i | ||||||||
\(523\) | 22.0882i | 0.965849i | 0.875662 | + | 0.482925i | \(0.160426\pi\) | ||||
−0.875662 | + | 0.482925i | \(0.839574\pi\) | |||||||
\(524\) | −2.41811 | −0.105635 | ||||||||
\(525\) | −60.7947 | + | 40.1392i | −2.65330 | + | 1.75182i | ||||
\(526\) | −22.1601 | −0.966225 | ||||||||
\(527\) | − | 6.37902i | − | 0.277874i | ||||||
\(528\) | 81.5183i | 3.54763i | ||||||||
\(529\) | 9.79577 | 0.425903 | ||||||||
\(530\) | −9.76419 | − | 32.5102i | −0.424129 | − | 1.41215i | ||||
\(531\) | −38.4104 | −1.66687 | ||||||||
\(532\) | 1.29802i | 0.0562765i | ||||||||
\(533\) | 27.6887i | 1.19933i | ||||||||
\(534\) | −32.8351 | −1.42091 | ||||||||
\(535\) | −5.09533 | + | 1.53034i | −0.220290 | + | 0.0661625i | ||||
\(536\) | −37.0802 | −1.60162 | ||||||||
\(537\) | 48.9823i | 2.11374i | ||||||||
\(538\) | − | 36.9416i | − | 1.59267i | ||||||
\(539\) | 87.1929 | 3.75567 | ||||||||
\(540\) | −5.71539 | + | 1.71657i | −0.245951 | + | 0.0738695i | ||||
\(541\) | −7.32264 | −0.314825 | −0.157412 | − | 0.987533i | \(-0.550315\pi\) | ||||
−0.157412 | + | 0.987533i | \(0.550315\pi\) | |||||||
\(542\) | 32.7348i | 1.40608i | ||||||||
\(543\) | 18.7723i | 0.805596i | ||||||||
\(544\) | 7.29010 | 0.312561 | ||||||||
\(545\) | 7.02930 | + | 23.4043i | 0.301102 | + | 1.00253i | ||||
\(546\) | 93.2820 | 3.99210 | ||||||||
\(547\) | 27.9274i | 1.19409i | 0.802208 | + | 0.597045i | \(0.203658\pi\) | ||||
−0.802208 | + | 0.597045i | \(0.796342\pi\) | |||||||
\(548\) | − | 1.47702i | − | 0.0630950i | ||||||
\(549\) | −32.2911 | −1.37815 | ||||||||
\(550\) | 24.3513 | + | 36.8824i | 1.03834 | + | 1.57267i | ||||
\(551\) | −2.23160 | −0.0950692 | ||||||||
\(552\) | 30.0680i | 1.27978i | ||||||||
\(553\) | 8.26821i | 0.351600i | ||||||||
\(554\) | 26.7874 | 1.13809 | ||||||||
\(555\) | −14.7340 | − | 49.0573i | −0.625422 | − | 2.08237i | ||||
\(556\) | −2.18978 | −0.0928673 | ||||||||
\(557\) | − | 13.5066i | − | 0.572293i | −0.958186 | − | 0.286146i | \(-0.907626\pi\) | ||
0.958186 | − | 0.286146i | \(-0.0923744\pi\) | |||||||
\(558\) | 11.2623i | 0.476770i | ||||||||
\(559\) | −19.6166 | −0.829696 | ||||||||
\(560\) | −43.9242 | + | 13.1923i | −1.85614 | + | 0.557476i | ||||
\(561\) | 106.044 | 4.47718 | ||||||||
\(562\) | 22.3087i | 0.941037i | ||||||||
\(563\) | 4.30396i | 0.181390i | 0.995879 | + | 0.0906951i | \(0.0289089\pi\) | ||||
−0.995879 | + | 0.0906951i | \(0.971091\pi\) | |||||||
\(564\) | 5.45317 | 0.229620 | ||||||||
\(565\) | −26.4434 | + | 7.94206i | −1.11248 | + | 0.334125i | ||||
\(566\) | 25.1882 | 1.05874 | ||||||||
\(567\) | − | 77.2335i | − | 3.24350i | ||||||
\(568\) | − | 10.5033i | − | 0.440710i | ||||||
\(569\) | −10.2392 | −0.429248 | −0.214624 | − | 0.976697i | \(-0.568853\pi\) | ||||
−0.214624 | + | 0.976697i | \(0.568853\pi\) | |||||||
\(570\) | −3.69552 | − | 12.3044i | −0.154788 | − | 0.515373i | ||||
\(571\) | −25.4305 | −1.06423 | −0.532117 | − | 0.846671i | \(-0.678603\pi\) | ||||
−0.532117 | + | 0.846671i | \(0.678603\pi\) | |||||||
\(572\) | − | 5.74876i | − | 0.240368i | ||||||
\(573\) | − | 45.3492i | − | 1.89449i | ||||||
\(574\) | −44.8670 | −1.87271 | ||||||||
\(575\) | 10.0107 | + | 15.1622i | 0.417475 | + | 0.632307i | ||||
\(576\) | 46.7623 | 1.94843 | ||||||||
\(577\) | 12.6994i | 0.528684i | 0.964429 | + | 0.264342i | \(0.0851548\pi\) | ||||
−0.964429 | + | 0.264342i | \(0.914845\pi\) | |||||||
\(578\) | − | 23.5423i | − | 0.979229i | ||||||
\(579\) | −10.6924 | −0.444360 | ||||||||
\(580\) | 0.263535 | + | 0.877450i | 0.0109427 | + | 0.0364341i | ||||
\(581\) | −46.2863 | −1.92028 | ||||||||
\(582\) | 23.5050i | 0.974312i | ||||||||
\(583\) | − | 60.2769i | − | 2.49641i | ||||||
\(584\) | −23.6091 | −0.976953 | ||||||||
\(585\) | −62.2564 | + | 18.6982i | −2.57399 | + | 0.773076i | ||||
\(586\) | 24.4172 | 1.00866 | ||||||||
\(587\) | − | 37.3627i | − | 1.54212i | −0.636761 | − | 0.771061i | \(-0.719726\pi\) | ||
0.636761 | − | 0.771061i | \(-0.280274\pi\) | |||||||
\(588\) | 10.4057i | 0.429124i | ||||||||
\(589\) | −1.37233 | −0.0565457 | ||||||||
\(590\) | −18.1160 | + | 5.44101i | −0.745826 | + | 0.224003i | ||||
\(591\) | 64.1162 | 2.63739 | ||||||||
\(592\) | − | 32.2467i | − | 1.32533i | ||||||
\(593\) | − | 20.9359i | − | 0.859736i | −0.902892 | − | 0.429868i | \(-0.858560\pi\) | ||
0.902892 | − | 0.429868i | \(-0.141440\pi\) | |||||||
\(594\) | −104.317 | −4.28016 | ||||||||
\(595\) | 17.1613 | + | 57.1393i | 0.703546 | + | 2.34248i | ||||
\(596\) | 3.34455 | 0.136998 | ||||||||
\(597\) | 8.68483i | 0.355447i | ||||||||
\(598\) | − | 23.2645i | − | 0.951356i | ||||||
\(599\) | 40.5567 | 1.65710 | 0.828551 | − | 0.559914i | \(-0.189166\pi\) | ||||
0.828551 | + | 0.559914i | \(0.189166\pi\) | |||||||
\(600\) | 34.5266 | − | 22.7959i | 1.40954 | − | 0.930637i | ||||
\(601\) | −21.1739 | −0.863700 | −0.431850 | − | 0.901946i | \(-0.642139\pi\) | ||||
−0.431850 | + | 0.901946i | \(0.642139\pi\) | |||||||
\(602\) | − | 31.7869i | − | 1.29554i | ||||||
\(603\) | − | 94.9160i | − | 3.86528i | ||||||
\(604\) | 0.275447 | 0.0112078 | ||||||||
\(605\) | 15.4995 | + | 51.6062i | 0.630144 | + | 2.09809i | ||||
\(606\) | 41.4211 | 1.68262 | ||||||||
\(607\) | 27.6387i | 1.12182i | 0.827877 | + | 0.560910i | \(0.189549\pi\) | ||||
−0.827877 | + | 0.560910i | \(0.810451\pi\) | |||||||
\(608\) | − | 1.56833i | − | 0.0636041i | ||||||
\(609\) | −26.3984 | −1.06972 | ||||||||
\(610\) | −15.2299 | + | 4.57419i | −0.616642 | + | 0.185203i | ||||
\(611\) | 33.0965 | 1.33894 | ||||||||
\(612\) | 8.77130i | 0.354559i | ||||||||
\(613\) | 36.9421i | 1.49208i | 0.665902 | + | 0.746039i | \(0.268047\pi\) | ||||
−0.665902 | + | 0.746039i | \(0.731953\pi\) | |||||||
\(614\) | 28.3928 | 1.14584 | ||||||||
\(615\) | 43.2042 | − | 12.9760i | 1.74216 | − | 0.523244i | ||||
\(616\) | −73.0704 | −2.94409 | ||||||||
\(617\) | − | 40.1279i | − | 1.61549i | −0.589533 | − | 0.807744i | \(-0.700688\pi\) | ||
0.589533 | − | 0.807744i | \(-0.299312\pi\) | |||||||
\(618\) | − | 14.5599i | − | 0.585686i | ||||||
\(619\) | 30.3391 | 1.21943 | 0.609716 | − | 0.792620i | \(-0.291284\pi\) | ||||
0.609716 | + | 0.792620i | \(0.291284\pi\) | |||||||
\(620\) | 0.162062 | + | 0.539590i | 0.00650855 | + | 0.0216705i | ||||
\(621\) | −42.8841 | −1.72088 | ||||||||
\(622\) | − | 24.3208i | − | 0.975175i | ||||||
\(623\) | − | 32.8033i | − | 1.31424i | ||||||
\(624\) | −59.0444 | −2.36367 | ||||||||
\(625\) | 9.82091 | − | 22.9902i | 0.392836 | − | 0.919608i | ||||
\(626\) | −2.55541 | −0.102135 | ||||||||
\(627\) | − | 22.8134i | − | 0.911078i | ||||||
\(628\) | 2.14476i | 0.0855852i | ||||||||
\(629\) | −41.9485 | −1.67260 | ||||||||
\(630\) | −30.2987 | − | 100.881i | −1.20713 | − | 4.01918i | ||||
\(631\) | −36.0636 | −1.43567 | −0.717835 | − | 0.696213i | \(-0.754867\pi\) | ||||
−0.717835 | + | 0.696213i | \(0.754867\pi\) | |||||||
\(632\) | − | 4.69569i | − | 0.186784i | ||||||
\(633\) | 71.6422i | 2.84752i | ||||||||
\(634\) | 13.9240 | 0.552993 | ||||||||
\(635\) | −18.9206 | + | 5.68264i | −0.750840 | + | 0.225509i | ||||
\(636\) | 7.19352 | 0.285241 | ||||||||
\(637\) | 63.1545i | 2.50227i | ||||||||
\(638\) | 16.0151i | 0.634044i | ||||||||
\(639\) | 26.8859 | 1.06359 | ||||||||
\(640\) | 27.5090 | − | 8.26210i | 1.08739 | − | 0.326588i | ||||
\(641\) | 40.0078 | 1.58021 | 0.790106 | − | 0.612970i | \(-0.210025\pi\) | ||||
0.790106 | + | 0.612970i | \(0.210025\pi\) | |||||||
\(642\) | − | 11.0987i | − | 0.438029i | ||||||
\(643\) | − | 23.3695i | − | 0.921604i | −0.887503 | − | 0.460802i | \(-0.847562\pi\) | ||
0.887503 | − | 0.460802i | \(-0.152438\pi\) | |||||||
\(644\) | 3.82948 | 0.150903 | ||||||||
\(645\) | 9.19313 | + | 30.6089i | 0.361979 | + | 1.20522i | ||||
\(646\) | −10.5214 | −0.413957 | ||||||||
\(647\) | 43.5626i | 1.71262i | 0.516459 | + | 0.856312i | \(0.327250\pi\) | ||||
−0.516459 | + | 0.856312i | \(0.672750\pi\) | |||||||
\(648\) | 43.8625i | 1.72308i | ||||||||
\(649\) | −33.5888 | −1.31847 | ||||||||
\(650\) | −26.7142 | + | 17.6378i | −1.04782 | + | 0.691812i | ||||
\(651\) | −16.2337 | −0.636250 | ||||||||
\(652\) | − | 0.457324i | − | 0.0179102i | ||||||
\(653\) | 11.8810i | 0.464939i | 0.972604 | + | 0.232469i | \(0.0746805\pi\) | ||||
−0.972604 | + | 0.232469i | \(0.925319\pi\) | |||||||
\(654\) | −50.9793 | −1.99345 | ||||||||
\(655\) | 6.87776 | + | 22.8997i | 0.268736 | + | 0.894767i | ||||
\(656\) | 28.3993 | 1.10881 | ||||||||
\(657\) | − | 60.4334i | − | 2.35773i | ||||||
\(658\) | 53.6297i | 2.09070i | ||||||||
\(659\) | −22.2402 | −0.866357 | −0.433178 | − | 0.901308i | \(-0.642608\pi\) | ||||
−0.433178 | + | 0.901308i | \(0.642608\pi\) | |||||||
\(660\) | −8.97008 | + | 2.69409i | −0.349160 | + | 0.104867i | ||||
\(661\) | 20.7001 | 0.805140 | 0.402570 | − | 0.915389i | \(-0.368117\pi\) | ||||
0.402570 | + | 0.915389i | \(0.368117\pi\) | |||||||
\(662\) | 18.2038i | 0.707511i | ||||||||
\(663\) | 76.8085i | 2.98300i | ||||||||
\(664\) | 26.2870 | 1.02013 | ||||||||
\(665\) | 12.2924 | − | 3.69194i | 0.476681 | − | 0.143167i | ||||
\(666\) | 74.0609 | 2.86980 | ||||||||
\(667\) | 6.58374i | 0.254923i | ||||||||
\(668\) | − | 2.72362i | − | 0.105380i | ||||||
\(669\) | −23.5256 | −0.909551 | ||||||||
\(670\) | −13.4453 | − | 44.7666i | −0.519437 | − | 1.72948i | ||||
\(671\) | −28.2376 | −1.09010 | ||||||||
\(672\) | − | 18.5523i | − | 0.715671i | ||||||
\(673\) | − | 4.14046i | − | 0.159603i | −0.996811 | − | 0.0798016i | \(-0.974571\pi\) | ||
0.996811 | − | 0.0798016i | \(-0.0254287\pi\) | |||||||
\(674\) | 1.98281 | 0.0763751 | ||||||||
\(675\) | 32.5123 | + | 49.2430i | 1.25140 | + | 1.89536i | ||||
\(676\) | 1.22406 | 0.0470793 | ||||||||
\(677\) | 38.9911i | 1.49855i | 0.662259 | + | 0.749275i | \(0.269598\pi\) | ||||
−0.662259 | + | 0.749275i | \(0.730402\pi\) | |||||||
\(678\) | − | 57.5990i | − | 2.21208i | ||||||
\(679\) | −23.4822 | −0.901164 | ||||||||
\(680\) | −9.74628 | − | 32.4506i | −0.373753 | − | 1.24442i | ||||
\(681\) | 2.97093 | 0.113846 | ||||||||
\(682\) | 9.84853i | 0.377120i | ||||||||
\(683\) | − | 20.2200i | − | 0.773696i | −0.922144 | − | 0.386848i | \(-0.873564\pi\) | ||
0.922144 | − | 0.386848i | \(-0.126436\pi\) | |||||||
\(684\) | 1.88698 | 0.0721505 | ||||||||
\(685\) | −13.9875 | + | 4.20104i | −0.534436 | + | 0.160514i | ||||
\(686\) | −53.6635 | −2.04888 | ||||||||
\(687\) | − | 45.8166i | − | 1.74801i | ||||||
\(688\) | 20.1200i | 0.767070i | ||||||||
\(689\) | 43.6590 | 1.66328 | ||||||||
\(690\) | −36.3008 | + | 10.9027i | −1.38195 | + | 0.415057i | ||||
\(691\) | −10.4772 | −0.398570 | −0.199285 | − | 0.979942i | \(-0.563862\pi\) | ||||
−0.199285 | + | 0.979942i | \(0.563862\pi\) | |||||||
\(692\) | − | 2.39832i | − | 0.0911705i | ||||||
\(693\) | − | 187.042i | − | 7.10512i | ||||||
\(694\) | −3.29849 | −0.125209 | ||||||||
\(695\) | 6.22833 | + | 20.7375i | 0.236254 | + | 0.786616i | ||||
\(696\) | 14.9922 | 0.568277 | ||||||||
\(697\) | − | 36.9435i | − | 1.39934i | ||||||
\(698\) | − | 26.6631i | − | 1.00921i | ||||||
\(699\) | 59.9072 | 2.26590 | ||||||||
\(700\) | −2.90330 | − | 4.39733i | −0.109734 | − | 0.166203i | ||||
\(701\) | 23.2337 | 0.877524 | 0.438762 | − | 0.898603i | \(-0.355417\pi\) | ||||
0.438762 | + | 0.898603i | \(0.355417\pi\) | |||||||
\(702\) | − | 75.5573i | − | 2.85173i | ||||||
\(703\) | 9.02443i | 0.340363i | ||||||||
\(704\) | 40.8923 | 1.54118 | ||||||||
\(705\) | −15.5103 | − | 51.6422i | −0.584152 | − | 1.94496i | ||||
\(706\) | −13.5791 | −0.511058 | ||||||||
\(707\) | 41.3810i | 1.55629i | ||||||||
\(708\) | − | 4.00852i | − | 0.150650i | ||||||
\(709\) | 28.6569 | 1.07623 | 0.538116 | − | 0.842871i | \(-0.319136\pi\) | ||||
0.538116 | + | 0.842871i | \(0.319136\pi\) | |||||||
\(710\) | 12.6806 | − | 3.80850i | 0.475893 | − | 0.142931i | ||||
\(711\) | 12.0198 | 0.450777 | ||||||||
\(712\) | 18.6297i | 0.698177i | ||||||||
\(713\) | 4.04869i | 0.151625i | ||||||||
\(714\) | −124.461 | −4.65783 | ||||||||
\(715\) | −54.4414 | + | 16.3510i | −2.03599 | + | 0.611494i | ||||
\(716\) | −3.54293 | −0.132405 | ||||||||
\(717\) | 12.1505i | 0.453770i | ||||||||
\(718\) | 34.3736i | 1.28281i | ||||||||
\(719\) | 5.87954 | 0.219270 | 0.109635 | − | 0.993972i | \(-0.465032\pi\) | ||||
0.109635 | + | 0.993972i | \(0.465032\pi\) | |||||||
\(720\) | 19.1781 | + | 63.8540i | 0.714724 | + | 2.37970i | ||||
\(721\) | 14.5458 | 0.541715 | ||||||||
\(722\) | − | 26.0850i | − | 0.970783i | ||||||
\(723\) | 3.12646i | 0.116274i | ||||||||
\(724\) | −1.35781 | −0.0504627 | ||||||||
\(725\) | 7.55999 | − | 4.99142i | 0.280771 | − | 0.185377i | ||||
\(726\) | −112.409 | −4.17187 | ||||||||
\(727\) | 49.0096i | 1.81767i | 0.417161 | + | 0.908833i | \(0.363025\pi\) | ||||
−0.417161 | + | 0.908833i | \(0.636975\pi\) | |||||||
\(728\) | − | 52.9255i | − | 1.96155i | ||||||
\(729\) | −1.58556 | −0.0587245 | ||||||||
\(730\) | −8.56067 | − | 28.5031i | −0.316844 | − | 1.05495i | ||||
\(731\) | 26.1734 | 0.968058 | ||||||||
\(732\) | − | 3.36991i | − | 0.124556i | ||||||
\(733\) | 15.4332i | 0.570040i | 0.958522 | + | 0.285020i | \(0.0920002\pi\) | ||||
−0.958522 | + | 0.285020i | \(0.908000\pi\) | |||||||
\(734\) | 48.4863 | 1.78966 | ||||||||
\(735\) | 98.5433 | − | 29.5967i | 3.63482 | − | 1.09169i | ||||
\(736\) | −4.62694 | −0.170551 | ||||||||
\(737\) | − | 83.0012i | − | 3.05739i | ||||||
\(738\) | 65.2245i | 2.40095i | ||||||||
\(739\) | 19.0798 | 0.701863 | 0.350931 | − | 0.936401i | \(-0.385865\pi\) | ||||
0.350931 | + | 0.936401i | \(0.385865\pi\) | |||||||
\(740\) | 3.54835 | − | 1.06572i | 0.130440 | − | 0.0391766i | ||||
\(741\) | 16.5239 | 0.607021 | ||||||||
\(742\) | 70.7453i | 2.59714i | ||||||||
\(743\) | − | 28.2323i | − | 1.03574i | −0.855459 | − | 0.517871i | \(-0.826725\pi\) | ||
0.855459 | − | 0.517871i | \(-0.173275\pi\) | |||||||
\(744\) | 9.21947 | 0.338002 | ||||||||
\(745\) | −9.51283 | − | 31.6733i | −0.348523 | − | 1.16042i | ||||
\(746\) | −52.5735 | −1.92485 | ||||||||
\(747\) | 67.2879i | 2.46194i | ||||||||
\(748\) | 7.67024i | 0.280452i | ||||||||
\(749\) | 11.0879 | 0.405143 | ||||||||
\(750\) | 40.0405 | + | 33.4178i | 1.46207 | + | 1.22024i | ||||
\(751\) | 10.2127 | 0.372667 | 0.186333 | − | 0.982487i | \(-0.440340\pi\) | ||||
0.186333 | + | 0.982487i | \(0.440340\pi\) | |||||||
\(752\) | − | 33.9458i | − | 1.23788i | ||||||
\(753\) | − | 43.2866i | − | 1.57745i | ||||||
\(754\) | −11.5999 | −0.422442 | ||||||||
\(755\) | −0.783446 | − | 2.60851i | −0.0285125 | − | 0.0949335i | ||||
\(756\) | 12.4372 | 0.452337 | ||||||||
\(757\) | 42.5055i | 1.54489i | 0.635082 | + | 0.772445i | \(0.280966\pi\) | ||||
−0.635082 | + | 0.772445i | \(0.719034\pi\) | |||||||
\(758\) | 7.74245i | 0.281219i | ||||||||
\(759\) | −67.3049 | −2.44301 | ||||||||
\(760\) | −6.98113 | + | 2.09673i | −0.253232 | + | 0.0760563i | ||||
\(761\) | −33.2390 | −1.20491 | −0.602456 | − | 0.798152i | \(-0.705811\pi\) | ||||
−0.602456 | + | 0.798152i | \(0.705811\pi\) | |||||||
\(762\) | − | 41.2128i | − | 1.49298i | ||||||
\(763\) | − | 50.9299i | − | 1.84379i | ||||||
\(764\) | 3.28014 | 0.118671 | ||||||||
\(765\) | 83.0652 | − | 24.9480i | 3.00323 | − | 0.901996i | ||||
\(766\) | 8.53970 | 0.308552 | ||||||||
\(767\) | − | 24.3286i | − | 0.878455i | ||||||
\(768\) | 16.7596i | 0.604759i | ||||||||
\(769\) | −24.0517 | −0.867328 | −0.433664 | − | 0.901075i | \(-0.642779\pi\) | ||||
−0.433664 | + | 0.901075i | \(0.642779\pi\) | |||||||
\(770\) | −26.4953 | − | 88.2171i | −0.954825 | − | 3.17912i | ||||
\(771\) | 19.2972 | 0.694971 | ||||||||
\(772\) | − | 0.773387i | − | 0.0278348i | ||||||
\(773\) | − | 19.5958i | − | 0.704813i | −0.935847 | − | 0.352407i | \(-0.885363\pi\) | ||
0.935847 | − | 0.352407i | \(-0.114637\pi\) | |||||||
\(774\) | −46.2096 | −1.66097 | ||||||||
\(775\) | 4.64903 | − | 3.06949i | 0.166998 | − | 0.110259i | ||||
\(776\) | 13.3360 | 0.478735 | ||||||||
\(777\) | 106.753i | 3.82975i | ||||||||
\(778\) | − | 37.0861i | − | 1.32960i | ||||||
\(779\) | −7.94770 | −0.284756 | ||||||||
\(780\) | −1.95135 | − | 6.49710i | −0.0698696 | − | 0.232634i | ||||
\(781\) | 23.5109 | 0.841286 | ||||||||
\(782\) | 31.0405i | 1.11001i | ||||||||
\(783\) | 21.3824i | 0.764143i | ||||||||
\(784\) | 64.7752 | 2.31340 | ||||||||
\(785\) | 20.3111 | − | 6.10029i | 0.724935 | − | 0.217729i | ||||
\(786\) | −49.8802 | −1.77917 | ||||||||
\(787\) | − | 14.4340i | − | 0.514515i | −0.966343 | − | 0.257257i | \(-0.917181\pi\) | ||
0.966343 | − | 0.257257i | \(-0.0828189\pi\) | |||||||
\(788\) | 4.63757i | 0.165207i | ||||||||
\(789\) | −46.4352 | −1.65314 | ||||||||
\(790\) | 5.66905 | − | 1.70266i | 0.201696 | − | 0.0605778i | ||||
\(791\) | 57.5432 | 2.04600 | ||||||||
\(792\) | 106.225i | 3.77453i | ||||||||
\(793\) | − | 20.4527i | − | 0.726298i | ||||||
\(794\) | −51.9542 | −1.84379 | ||||||||
\(795\) | −20.4603 | − | 68.1234i | −0.725653 | − | 2.41609i | ||||
\(796\) | −0.628181 | −0.0222653 | ||||||||
\(797\) | 36.2235i | 1.28310i | 0.767081 | + | 0.641551i | \(0.221709\pi\) | ||||
−0.767081 | + | 0.641551i | \(0.778291\pi\) | |||||||
\(798\) | 26.7754i | 0.947839i | ||||||||
\(799\) | −44.1588 | −1.56223 | ||||||||
\(800\) | 3.50789 | + | 5.31303i | 0.124022 | + | 0.187844i | ||||
\(801\) | −47.6873 | −1.68495 | ||||||||
\(802\) | − | 47.9492i | − | 1.69314i | ||||||
\(803\) | − | 52.8472i | − | 1.86494i | ||||||
\(804\) | 9.90547 | 0.349339 | ||||||||
\(805\) | −10.8921 | − | 36.2657i | −0.383896 | − | 1.27820i | ||||
\(806\) | −7.13337 | −0.251262 | ||||||||
\(807\) | − | 77.4091i | − | 2.72493i | ||||||
\(808\) | − | 23.5011i | − | 0.826766i | ||||||
\(809\) | 33.5485 | 1.17950 | 0.589751 | − | 0.807585i | \(-0.299226\pi\) | ||||
0.589751 | + | 0.807585i | \(0.299226\pi\) | |||||||
\(810\) | −52.9547 | + | 15.9045i | −1.86064 | + | 0.558828i | ||||
\(811\) | −41.8458 | −1.46941 | −0.734703 | − | 0.678389i | \(-0.762678\pi\) | ||||
−0.734703 | + | 0.678389i | \(0.762678\pi\) | |||||||
\(812\) | − | 1.90941i | − | 0.0670072i | ||||||
\(813\) | 68.5940i | 2.40570i | ||||||||
\(814\) | 64.7641 | 2.26998 | ||||||||
\(815\) | −4.33091 | + | 1.30075i | −0.151705 | + | 0.0455634i | ||||
\(816\) | 78.7796 | 2.75784 | ||||||||
\(817\) | − | 5.63071i | − | 0.196994i | ||||||
\(818\) | 45.4755i | 1.59002i | ||||||||
\(819\) | 135.476 | 4.73390 | ||||||||
\(820\) | 0.938566 | + | 3.12499i | 0.0327761 | + | 0.109129i | ||||
\(821\) | −29.6138 | −1.03353 | −0.516765 | − | 0.856127i | \(-0.672864\pi\) | ||||
−0.516765 | + | 0.856127i | \(0.672864\pi\) | |||||||
\(822\) | − | 30.4676i | − | 1.06268i | ||||||
\(823\) | 5.60965i | 0.195540i | 0.995209 | + | 0.0977701i | \(0.0311710\pi\) | ||||
−0.995209 | + | 0.0977701i | \(0.968829\pi\) | |||||||
\(824\) | −8.26088 | −0.287781 | ||||||||
\(825\) | 51.0268 | + | 77.2850i | 1.77652 | + | 2.69072i | ||||
\(826\) | 39.4222 | 1.37167 | ||||||||
\(827\) | − | 13.9106i | − | 0.483720i | −0.970311 | − | 0.241860i | \(-0.922242\pi\) | ||
0.970311 | − | 0.241860i | \(-0.0777575\pi\) | |||||||
\(828\) | − | 5.56704i | − | 0.193468i | ||||||
\(829\) | −22.9062 | −0.795567 | −0.397783 | − | 0.917479i | \(-0.630220\pi\) | ||||
−0.397783 | + | 0.917479i | \(0.630220\pi\) | |||||||
\(830\) | 9.53164 | + | 31.7360i | 0.330848 | + | 1.10157i | ||||
\(831\) | 56.1315 | 1.94718 | ||||||||
\(832\) | 29.6186i | 1.02684i | ||||||||
\(833\) | − | 84.2635i | − | 2.91956i | ||||||
\(834\) | −45.1703 | −1.56412 | ||||||||
\(835\) | −25.7930 | + | 7.74671i | −0.892602 | + | 0.268086i | ||||
\(836\) | 1.65011 | 0.0570702 | ||||||||
\(837\) | 13.1491i | 0.454500i | ||||||||
\(838\) | 20.9692i | 0.724369i | ||||||||
\(839\) | 5.57070 | 0.192322 | 0.0961609 | − | 0.995366i | \(-0.469344\pi\) | ||||
0.0961609 | + | 0.995366i | \(0.469344\pi\) | |||||||
\(840\) | −82.5824 | + | 24.8030i | −2.84936 | + | 0.855783i | ||||
\(841\) | −25.7173 | −0.886803 | ||||||||
\(842\) | 11.8868i | 0.409647i | ||||||||
\(843\) | 46.7467i | 1.61004i | ||||||||
\(844\) | −5.18193 | −0.178369 | ||||||||
\(845\) | −3.48157 | − | 11.5920i | −0.119770 | − | 0.398777i | ||||
\(846\) | 77.9632 | 2.68043 | ||||||||
\(847\) | − | 112.300i | − | 3.85867i | ||||||
\(848\) | − | 44.7794i | − | 1.53773i | ||||||
\(849\) | 52.7804 | 1.81142 | ||||||||
\(850\) | 35.6432 | − | 23.5331i | 1.22255 | − | 0.807180i | ||||
\(851\) | 26.6242 | 0.912667 | ||||||||
\(852\) | 2.80582i | 0.0961257i | ||||||||
\(853\) | 35.8612i | 1.22786i | 0.789359 | + | 0.613931i | \(0.210413\pi\) | ||||
−0.789359 | + | 0.613931i | \(0.789587\pi\) | |||||||
\(854\) | 33.1417 | 1.13409 | ||||||||
\(855\) | −5.36709 | − | 17.8699i | −0.183551 | − | 0.611138i | ||||
\(856\) | −6.29705 | −0.215229 | ||||||||
\(857\) | 0.654119i | 0.0223443i | 0.999938 | + | 0.0111721i | \(0.00355628\pi\) | ||||
−0.999938 | + | 0.0111721i | \(0.996444\pi\) | |||||||
\(858\) | − | 118.584i | − | 4.04840i | ||||||
\(859\) | −2.58305 | −0.0881324 | −0.0440662 | − | 0.999029i | \(-0.514031\pi\) | ||||
−0.0440662 | + | 0.999029i | \(0.514031\pi\) | |||||||
\(860\) | −2.21396 | + | 0.664946i | −0.0754955 | + | 0.0226745i | ||||
\(861\) | −94.0163 | −3.20407 | ||||||||
\(862\) | − | 59.1677i | − | 2.01526i | ||||||
\(863\) | 52.4627i | 1.78585i | 0.450206 | + | 0.892925i | \(0.351351\pi\) | ||||
−0.450206 | + | 0.892925i | \(0.648649\pi\) | |||||||
\(864\) | −15.0272 | −0.511234 | ||||||||
\(865\) | −22.7124 | + | 6.82148i | −0.772244 | + | 0.231937i | ||||
\(866\) | −4.88887 | −0.166130 | ||||||||
\(867\) | − | 49.3315i | − | 1.67539i | ||||||
\(868\) | − | 1.17420i | − | 0.0398549i | ||||||
\(869\) | 10.5109 | 0.356559 | ||||||||
\(870\) | 5.43615 | + | 18.0999i | 0.184303 | + | 0.613643i | ||||
\(871\) | 60.1184 | 2.03704 | ||||||||
\(872\) | 28.9242i | 0.979496i | ||||||||
\(873\) | 34.1368i | 1.15536i | ||||||||
\(874\) | 6.67778 | 0.225879 | ||||||||
\(875\) | −33.3854 | + | 40.0018i | −1.12863 | + | 1.35231i | ||||
\(876\) | 6.30685 | 0.213089 | ||||||||
\(877\) | − | 19.1481i | − | 0.646586i | −0.946299 | − | 0.323293i | \(-0.895210\pi\) | ||
0.946299 | − | 0.323293i | \(-0.104790\pi\) | |||||||
\(878\) | 21.6440i | 0.730449i | ||||||||
\(879\) | 51.1649 | 1.72575 | ||||||||
\(880\) | 16.7706 | + | 55.8385i | 0.565338 | + | 1.88231i | ||||
\(881\) | −38.6243 | −1.30129 | −0.650643 | − | 0.759384i | \(-0.725501\pi\) | ||||
−0.650643 | + | 0.759384i | \(0.725501\pi\) | |||||||
\(882\) | 148.769i | 5.00931i | ||||||||
\(883\) | 40.7541i | 1.37149i | 0.727844 | + | 0.685743i | \(0.240523\pi\) | ||||
−0.727844 | + | 0.685743i | \(0.759477\pi\) | |||||||
\(884\) | −5.55562 | −0.186856 | ||||||||
\(885\) | −37.9612 | + | 11.4013i | −1.27605 | + | 0.383252i | ||||
\(886\) | 29.1344 | 0.978788 | ||||||||
\(887\) | 44.2838i | 1.48690i | 0.668789 | + | 0.743452i | \(0.266813\pi\) | ||||
−0.668789 | + | 0.743452i | \(0.733187\pi\) | |||||||
\(888\) | − | 60.6274i | − | 2.03452i | ||||||
\(889\) | 41.1729 | 1.38089 | ||||||||
\(890\) | −22.4914 | + | 6.75512i | −0.753914 | + | 0.226432i | ||||
\(891\) | −98.1827 | −3.28925 | ||||||||
\(892\) | − | 1.70162i | − | 0.0569745i | ||||||
\(893\) | 9.49993i | 0.317903i | ||||||||
\(894\) | 68.9908 | 2.30740 | ||||||||
\(895\) | 10.0771 | + | 33.5520i | 0.336839 | + | 1.12152i | ||||
\(896\) | −59.8620 | −1.99985 | ||||||||
\(897\) | − | 48.7495i | − | 1.62770i | ||||||
\(898\) | 4.25936i | 0.142137i | ||||||||
\(899\) | 2.01871 | 0.0673277 | ||||||||
\(900\) | −6.39253 | + | 4.22062i | −0.213084 | + | 0.140687i | ||||
\(901\) | −58.2518 | −1.94065 | ||||||||
\(902\) | 57.0369i | 1.89912i | ||||||||
\(903\) | − | 66.6077i | − | 2.21657i | ||||||
\(904\) | −32.6800 | −1.08692 | ||||||||
\(905\) | 3.86199 | + | 12.8587i | 0.128377 | + | 0.427436i | ||||
\(906\) | 5.68186 | 0.188767 | ||||||||
\(907\) | 0.773290i | 0.0256767i | 0.999918 | + | 0.0128383i | \(0.00408668\pi\) | ||||
−0.999918 | + | 0.0128383i | \(0.995913\pi\) | |||||||
\(908\) | 0.214889i | 0.00713136i | ||||||||
\(909\) | 60.1569 | 1.99528 | ||||||||
\(910\) | 63.8963 | − | 19.1908i | 2.11814 | − | 0.636167i | ||||
\(911\) | 39.1307 | 1.29646 | 0.648228 | − | 0.761446i | \(-0.275510\pi\) | ||||
0.648228 | + | 0.761446i | \(0.275510\pi\) | |||||||
\(912\) | − | 16.9479i | − | 0.561202i | ||||||
\(913\) | 58.8413i | 1.94736i | ||||||||
\(914\) | −17.5028 | −0.578942 | ||||||||
\(915\) | −31.9135 | + | 9.58496i | −1.05503 | + | 0.316869i | ||||
\(916\) | 3.31395 | 0.109496 | ||||||||
\(917\) | − | 49.8319i | − | 1.64560i | ||||||
\(918\) | 100.812i | 3.32729i | ||||||||
\(919\) | −24.2527 | −0.800023 | −0.400011 | − | 0.916510i | \(-0.630994\pi\) | ||||
−0.400011 | + | 0.916510i | \(0.630994\pi\) | |||||||
\(920\) | 6.18585 | + | 20.5960i | 0.203941 | + | 0.679030i | ||||
\(921\) | 59.4955 | 1.96044 | ||||||||
\(922\) | 2.10800i | 0.0694233i | ||||||||
\(923\) | 17.0291i | 0.560520i | ||||||||
\(924\) | 19.5197 | 0.642152 | ||||||||
\(925\) | −20.1850 | − | 30.5721i | −0.663678 | − | 1.00520i | ||||
\(926\) | 45.2120 | 1.48576 | ||||||||
\(927\) | − | 21.1457i | − | 0.694517i | ||||||
\(928\) | 2.30703i | 0.0757320i | ||||||||
\(929\) | −4.12264 | −0.135260 | −0.0676298 | − | 0.997710i | \(-0.521544\pi\) | ||||
−0.0676298 | + | 0.997710i | \(0.521544\pi\) | |||||||
\(930\) | 3.34298 | + | 11.1306i | 0.109621 | + | 0.364986i | ||||
\(931\) | −18.1277 | −0.594112 | ||||||||
\(932\) | 4.33313i | 0.141936i | ||||||||
\(933\) | − | 50.9629i | − | 1.66845i | ||||||
\(934\) | 15.2808 | 0.500003 | ||||||||
\(935\) | 72.6381 | − | 21.8163i | 2.37552 | − | 0.713469i | ||||
\(936\) | −76.9394 | −2.51484 | ||||||||
\(937\) | 8.27592i | 0.270362i | 0.990821 | + | 0.135181i | \(0.0431617\pi\) | ||||
−0.990821 | + | 0.135181i | \(0.956838\pi\) | |||||||
\(938\) | 97.4162i | 3.18075i | ||||||||
\(939\) | −5.35473 | −0.174745 | ||||||||
\(940\) | 3.73532 | − | 1.12187i | 0.121833 | − | 0.0365914i | ||||
\(941\) | 11.2610 | 0.367100 | 0.183550 | − | 0.983010i | \(-0.441241\pi\) | ||||
0.183550 | + | 0.983010i | \(0.441241\pi\) | |||||||
\(942\) | 44.2417i | 1.44147i | ||||||||
\(943\) | 23.4476i | 0.763560i | ||||||||
\(944\) | −24.9529 | −0.812148 | ||||||||
\(945\) | −35.3748 | − | 117.782i | −1.15074 | − | 3.83144i | ||||
\(946\) | −40.4090 | −1.31381 | ||||||||
\(947\) | − | 28.2529i | − | 0.918096i | −0.888411 | − | 0.459048i | \(-0.848191\pi\) | ||
0.888411 | − | 0.459048i | \(-0.151809\pi\) | |||||||
\(948\) | 1.25439i | 0.0407406i | ||||||||
\(949\) | 38.2776 | 1.24254 | ||||||||
\(950\) | −5.06271 | − | 7.66797i | −0.164256 | − | 0.248782i | ||||
\(951\) | 29.1770 | 0.946130 | ||||||||
\(952\) | 70.6155i | 2.28866i | ||||||||
\(953\) | 39.0186i | 1.26394i | 0.774995 | + | 0.631968i | \(0.217752\pi\) | ||||
−0.774995 | + | 0.631968i | \(0.782248\pi\) | |||||||
\(954\) | 102.845 | 3.32972 | ||||||||
\(955\) | −9.32963 | − | 31.0633i | −0.301900 | − | 1.00519i | ||||
\(956\) | −0.878858 | −0.0284243 | ||||||||
\(957\) | 33.5588i | 1.08480i | ||||||||
\(958\) | 25.1203i | 0.811602i | ||||||||
\(959\) | 30.4381 | 0.982899 | ||||||||
\(960\) | 46.2154 | − | 13.8804i | 1.49160 | − | 0.447989i | ||||
\(961\) | −29.7586 | −0.959955 | ||||||||
\(962\) | 46.9091i | 1.51241i | ||||||||
\(963\) | − | 16.1188i | − | 0.519423i | ||||||
\(964\) | −0.226139 | −0.00728345 | ||||||||
\(965\) | −7.32407 | + | 2.19972i | −0.235770 | + | 0.0708116i | ||||
\(966\) | 78.9939 | 2.54159 | ||||||||
\(967\) | − | 39.9098i | − | 1.28341i | −0.766950 | − | 0.641707i | \(-0.778227\pi\) | ||
0.766950 | − | 0.641707i | \(-0.221773\pi\) | |||||||
\(968\) | 63.7773i | 2.04988i | ||||||||
\(969\) | −22.0469 | −0.708249 | ||||||||
\(970\) | 4.83564 | + | 16.1004i | 0.155263 | + | 0.516954i | ||||
\(971\) | 50.1082 | 1.60805 | 0.804024 | − | 0.594597i | \(-0.202688\pi\) | ||||
0.804024 | + | 0.594597i | \(0.202688\pi\) | |||||||
\(972\) | − | 3.71087i | − | 0.119026i | ||||||
\(973\) | − | 45.1266i | − | 1.44669i | ||||||
\(974\) | −28.5289 | −0.914126 | ||||||||
\(975\) | −55.9781 | + | 36.9591i | −1.79273 | + | 1.18364i | ||||
\(976\) | −20.9776 | −0.671477 | ||||||||
\(977\) | 42.4558i | 1.35828i | 0.734008 | + | 0.679141i | \(0.237648\pi\) | ||||
−0.734008 | + | 0.679141i | \(0.762352\pi\) | |||||||
\(978\) | − | 9.43359i | − | 0.301653i | ||||||
\(979\) | −41.7011 | −1.33277 | ||||||||
\(980\) | 2.14075 | + | 7.12771i | 0.0683838 | + | 0.227686i | ||||
\(981\) | −74.0385 | −2.36387 | ||||||||
\(982\) | 20.4288i | 0.651908i | ||||||||
\(983\) | 18.7770i | 0.598895i | 0.954113 | + | 0.299447i | \(0.0968023\pi\) | ||||
−0.954113 | + | 0.299447i | \(0.903198\pi\) | |||||||
\(984\) | 53.3938 | 1.70213 | ||||||||
\(985\) | 43.9184 | − | 13.1905i | 1.39936 | − | 0.420285i | ||||
\(986\) | 15.4771 | 0.492890 | ||||||||
\(987\) | 112.378i | 3.57703i | ||||||||
\(988\) | 1.19519i | 0.0380239i | ||||||||
\(989\) | −16.6119 | −0.528229 | ||||||||
\(990\) | −128.244 | + | 38.5171i | −4.07586 | + | 1.22415i | ||||
\(991\) | −7.86345 | −0.249791 | −0.124895 | − | 0.992170i | \(-0.539860\pi\) | ||||
−0.124895 | + | 0.992170i | \(0.539860\pi\) | |||||||
\(992\) | 1.41872i | 0.0450443i | ||||||||
\(993\) | 38.1451i | 1.21050i | ||||||||
\(994\) | −27.5941 | −0.875230 | ||||||||
\(995\) | 1.78672 | + | 5.94894i | 0.0566428 | + | 0.188594i | ||||
\(996\) | −7.02219 | −0.222507 | ||||||||
\(997\) | − | 4.32111i | − | 0.136851i | −0.997656 | − | 0.0684255i | \(-0.978202\pi\) | ||
0.997656 | − | 0.0684255i | \(-0.0217975\pi\) | |||||||
\(998\) | − | 61.4989i | − | 1.94671i | ||||||
\(999\) | 86.4688 | 2.73575 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1205.2.b.c.724.35 | yes | 46 | |
5.2 | odd | 4 | 6025.2.a.p.1.12 | 46 | |||
5.3 | odd | 4 | 6025.2.a.p.1.35 | 46 | |||
5.4 | even | 2 | inner | 1205.2.b.c.724.12 | ✓ | 46 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1205.2.b.c.724.12 | ✓ | 46 | 5.4 | even | 2 | inner | |
1205.2.b.c.724.35 | yes | 46 | 1.1 | even | 1 | trivial | |
6025.2.a.p.1.12 | 46 | 5.2 | odd | 4 | |||
6025.2.a.p.1.35 | 46 | 5.3 | odd | 4 |